The Babylonians used π at a value of 25/8 while the Egyptians used it at a value of 256/81. There is little doubt that the biblical calculations came from crude measurements but there is strong support that the Babylonians and Egyptians found π by using mathematical equations. The Greeks first focus on π was around 434 BC when mathematician Anaxagor made an unsuccessful attempt at finding π which he called squaring the circle. It took the Greeks over 100 years of study to find a value for π. In 240 BC, Archimedes of Syracuse concluded his study of π with 223/71<π<22/7.
| The following results produce a sum of 5: | Ace+4 | | | 2+3 | | | 3+2 | | | 4+1 | | | 4 suits, 4 outcomes equals 16 different ways to get a sum of 5 | As there are 4 suites, this means these 4 combinations could happen in 4 different ways | 16+16+16+16 = 64 | | | | | This is a reduced deck with only 40 cards | Because the first card picked will be any available cards, it equals 40 | The second card picked will be any of the available cards left, it equals 39 | 40 x 39 = 1560 different ways the 19 outcomes | 64 / 1560 = a probability of 0.410 | | | | C) | Let a be the event “total card value is 5 or less.” Find P ( A ) and P ( A c ). | Total card value must equal 2,3,4,5 | As defined in B) there are 64 ways to obtain a sum of 5 | Now must determine how many ways to get a sum of 2, 3, or 4 | 2) | Draw Ace twice in a row, total of 12 ways to obtain sum of 2 | 3) | Draw Ace+2, or 2+Ace. Four Aces and Four Twos. 4x4 = 16 with an Ace selected first. As well as 4x4=16 with a Two selected first.
4,25,000 d.None of these 80. Total property of Ghosh Babu (in Rs.lakh) is (a) 5.0 (b) 7.5 81. (c) 10.0 (d) 12.5. If Ghosh Babu had equal number of gold and silver bars, the number of silver bars he has is (a) 90 (b) 60 (c) 75 (d) 55 CAT 1990 Actual Paper Page 11 Questions 82-84 : The following questions relate to a game to be played by you and your friend. The game consists of a 4 x 4 board (see below) where each cell contains a positive integer.
Make no stray marks. Provide an appropriate response. 1) The 1995 payroll amounts for all major-league baseball teams are shown below. What percentage of the payrolls were in the $20-$30 million range? 1) _______ A) 38% B) 11% C) 59% D) 10% 2) In a comprehensive road test on all new car models, one variable measured is the time it takes a car to accelerate from 0 to 60 miles per hour.
Table Sum of Belle's cards = 3 + 4 + 7 = 14 | Sum of Carol's cards = 4 + 6 + 8 = 18 | Since these have different sums, but Andy sees at least two players whose cards have the same sum, then your cards must add up to either 14 or 18. The next question card belongs to Belle. As she draws the question card, “Of the five odd numbers, how many different odd numbers do you see?” She answers “All of them.” The only odd cards that Belle sees from Andy and Carol are 1, 3, and 7. So using that piece of information, you must have a 5 or 9 in your possession. This problem is nearly solved after the second question card is revealed.
Andrew Anderson A Feasibility Study of the expansion of the Clearwater Police Department’s Take Home Vehicle Bellevue University I. The Problem The problem is the Clearwater Police Department has not recently conducted a feasibility study to determine if an expansion of the current take-home vehicle program would be successful in the current economic climate. II. Factors Bearing on the Problem A. The police department serves a population of over 100,000 people with just 246 sworn uniformed officers in three different districts.
If s>g and if no student works in more than one group, which of the following calculations will determine approximately how many students should be in each lab group? A) gs B) s-g C) g-s D) s/g 11) Tickets for a play cost $6 each for adults and $3 each for children. If 160 of these tickets were bought for a total of $816 how many adult’s tickets were bought? A) 110 B) 111 C) 112 D) 115 12) Let r◊s=rs+s for all integers r and s If r◊s =0 and s does not equal 0 , what must r equal? A) -2 B) -1 C) 1 D) 2 13) The cells of a certain type of bacteria increase in number by each splitting into two cells every 30 minutes.
Rylee Sanchez PSY 2003 Vietnam Draft Lottery of 1971 Analysis of the procedure used for the Vietnam Draft Lottery in 1970 suggested that the lottery was not as random as the legislation required. Although the non-uniform lottery was allowed to stand for that year, the procedure was modified and improved. There were many steps in the modified version: 1. Scientists at the National Bureau of Standards prepared 78 random permutations of the numbers 1-366 using random numbers from published tables. 2.